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Fluids and Thermodynamics

Third Workshop
Teacher: Stefany Murcia Correa*
25 de agosto de 2016

1. Suppose you are standing directly behind someone who steps back and accidentally stomps on your foot
with the heel of one shoe. Would you be better off if that person were

a) a large, male professional basketball player wearing sneakers


b) a petite woman wearing spike-heeled shoes?
2. The pressure at the bottom of a filled glass of water (ρ = 1000 kg/m3) is P . The water is poured out, and
the glass is filled with ethyl alcohol (ρ = 806 kg/m3). What is the pressure at the bottom of the glass?

a) Smaller than P
b) Equal to P
c) Larger than P
d ) Indeterminate

3. Several common barometers are built, with a variety of fluids. For which of the following fluids will the
column of fluid in the barometer be the highest?
a) Mercury
b) Water
c) Ethyl alcohol
d ) Benzene
4. You observe two helium balloons floating next to each other at the ends of strings secured to a table. The
facing surfaces of the balloons are separated by 1–2 cm. You blow through the small space between the
balloons. What happens to the balloons?

a) They move toward each other.


b) They move away from each other.
c) They are unaffected.
5. In figure 1, an airstream moves from right to left through a tube that is constricted at the middle. Three
table-tennis balls are levitated in equilibrium above the vertical columns through which the air escapes.
(a) Why is the ball at the right higher than the one in the middle? (b) Why is the ball at the left lower
than the ball at the right even though the horizontal tube has the same dimensions at these two points?

Figura 1:

* Email:lmurciac@ecci.edu.co
6. A large storage tank, open at the top and filled with water, develops a small hole in its side at a point
16,0 m below the water level. The rate of flow from the leak is 2,50 × 103 m3 /min. Determine (a) the
speed at which the water leaves the hole and (b) the diameter of the hole. 1
7. Water flows through a fire hose of diameter 6.35 cm at a rate of 0,012 m3 /s. The fire hose ends in a nozzle
of inner diameter 2,20 cm. What is the speed with which the water exits the nozzle? 2
8. A legendary Dutch boy saved Holland by plugging a 1,20 cm diameter hole in a dike with his finger. If
the hole was 2,00 m below the surface of the North Sea (density 1030 kg/m3 ). What was the force on his
finger? 3
9. A siphon of uniform diameter is used to drain water from a tank as illustrated in Figure 2. Assume steady
flow without friction. (a) If h = 1,00 m, find the speed of outflow at the end of the siphon. (b) What is
the limitation on the height of the top of the siphon above the water surface? (For the flow of the liquid
to be continuous, the pressure must not drop below the vapor pressure of the liquid.) 4

Figura 2:

10. A hypodermic syringe contains a medicine having the density of water (Fig. 3). The barrel of the syringe
has a cross-sectional area A = 2,50 × 105 m2 , and the needle has a cross-sectional area a = 1,00 × 108 m2 .
In the absence of a force on the plunger, the pressure everywhere is 1 atm. A force F̃ of magnitude 2,00
N acts on the plunger, making medicine squirt horizontally from the needle. Determine the speed of the
medicine as it leaves the needle’s tip. 5

Figura 3:

1 Answer: (a) v = 17,7 m/s and (b) d = 1,73 mm


2 Answer: v = 31,6 m/s
3 Answer: F = 2,28 N
4 Answer: (a) v = 4,43 m/s and (b) y = 10,3 cm
5 Answer: v = 12,6 m/s

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